[00889] Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
Session Time & Room : 2E (Aug.22, 17:40-19:20) @E505
Type : Contributed Talk
Abstract : Relaxation Runge-Kutta methods, which are a slight modification of the RK methods, have been introduced to preserve invariants of initial-value problems. So far, this approach has been applied to preserve only one nonlinear functional in the numerical solution of a problem. In this talk, I will present the generalization of the relaxation approach for RK methods to preserve multiple nonlinear invariants of a dynamical system. The significance of preserving multiple invariants and its impact on long-term error growth will be illustrated via several numerical examples.
